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2 years ago

Please help me! I am very confused

Mathematics

1 answer:

Sphinxa [80]2 years ago

4 0

Answer:

1) 22.5 A

2) 112 B

3) 430 L

4) 576 P

5) 486 L

6) 624 S

Code is A B L P L S

Step-by-step explanation:

1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5

2) Area of a parallelogram = base x height = 14 x 8 = 112

3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)

= 2(15x7 + 15*5 + 7*5)

= 2(105 + 75 + 35)

= 2 * 215

= 430

4) Volume of a triangular prism = 1/2 * base * length * height

= 1/2 * 8 * 16 * 9

= 576

5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required

6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624

Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on

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Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)

AlladinOne [14]

Answer:

1) The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ . The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ . The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) The slope-intercept form of the line is $y = 2\cdot x-7$ . The standard form of the line is $-2\cdot x +y = -7$ .

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

$a\cdot x + b \cdot y = c$ (2)

Where $a$ , $b$ are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that $m = -5$ and $b = 1$ , then we know that the slope-intercept form of the line is:

$y = -5\cdot x + 1$ (3)

And the standard form is found after some algebraic handling:

$5\cdot x +y = 1$ (4)

The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(1,-2)$ and $(x_{2},y_{2}) = (3,3)$ , then we construct the following system of linear equations:

$m+b= -2$ (5)

$3\cdot m +b = 3$ (6)

The solution of the system is:

$m = \frac{5}{2}$ , $b = -\frac{9}{2}$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x +y = -\frac{9}{2}$

$-5\cdot x +2\cdot y = -9$ (7)

The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(-2,0)$ and $(x_{2},y_{2}) = (0,5)$ , then we construct the following system of linear equations:

$-2\cdot m +b = 0$ (8)

$b = 5$ (9)

The solution of the system is:

$m =\frac{5}{2}$ , $b = 5$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x+y =5$

$-5\cdot x +2\cdot y = 10$ (10)

The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) If we know that $a = 2$ and $b = -7$ , then the standard form of the family of lines is:

$2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$

And the standard form is found after some algebraic handling:

$-7\cdot y = -2\cdot x +c$

$y = \frac{2}{7}\cdot x -\frac{c}{7}$ , $\forall \,c\in\mathbb{R}$ (11)

The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) If we know that $(x,y) = (3,-1)$ and $m = 2$ , then the y-intercept of the line is:

$3\cdot 2 + b = -1$

$b = -7$

Then, the slope-intercept form of the line is $y = 2\cdot x-7$ .

And the standard form is found after some algebraic handling:

$-2\cdot x +y = -7$ (12)

The standard form of the line is $-2\cdot x +y = -7$ .

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3 years ago

DESPERATE PLEASE ANSWER FAST

Nonamiya [84]

Answer:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

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Time (years)Savings account balance ($)

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Time (years)

Savings account balance ($)

1300

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3600

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9000

Step-by-step explanation:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

UndoRedoReset

Time (years)Savings account balance ($)

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

Time (years)

Savings account balance ($)

1300

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3600

4000

2200

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3200

9000

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3 years ago

What is 20 kilograms times 30 kilograms

Oksi-84 [34.3K]

20 kilograms times 30 kilograms equals 600kg2.

Hope this helps:)

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3 years ago

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A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight

vekshin1

Using the relation between velocity, distance and time, it is found that:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

$v = \frac{d}{t}$

Flying with the wind, in which $v = v_b + v_w$ the 48-mile trip took 3 hours, hence:

$v = \frac{d}{t}$

$v_b + v_w = \frac{48}{3}$

$v_b + v_w = 16$

Her flight home against the wind took 4 fours, hence:

$v = \frac{d}{t}$

$v_b - v_w = \frac{48}{4}$

$v_b - v_w = 12$

Adding the two equations:

$2v_b = 28$

$v_b = 14$

$v_b + v_w = 16 \rightarrow v_w = 2$

Hence:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

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3 years ago

A store has a 20% off sale on pants. The price of the pants before the discount was $48.

nadezda [96]

Answer:

$38.40

Step-by-step explanation:

20% of $48 is 9.60

48- 9.60= 38.40

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3 years ago

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